Abstract
Abstract Due to their high numerical efficiency, homogenization models are often employed in the analysis of corrugated laminates. They are usually derived assuming periodic behavior in the corrugated direction and generalized plane strain in the out-of-plane direction, which corresponds to the assumption of infinite dimensions of the structure. As a consequence, any influences of edge effects are not mapped, although they can have a significant impact on the mechanical behavior of a given structure. The objective of this manuscript is to investigate the influence of boundary conditions - a combination of free-edges and clamping - on the structural stiffness of corrugated laminates. A total of six load cases are investigated which correspond to the line loads considered in the classical theory of laminated plates. The results of this parameter study allow the identification of several critical loading situations, where free edges can significantly alter structural stiffness. The given investigations hence contribute to the investigation of the validity range of homogenization models.
Highlights
The review by Dayyani et al [17] considers a range of applications as well as the mechanical behavior of composite corrugated structures.The geometric effects of cylindrical corrugations can create highly anisotropic structural properties with respect to inplane extension or bending of corrugated sheets
The majority of the load cases presented in this study show a fast decay of the effects caused by the load introduction on the relative stiffness of corrugated structures
In order to reduce the numerical cost, the structural response of corrugated laminates is often calculated using homogenization models, which provide substitute plate properties of the given structure. As they assume periodicity of the state variables - which is usually enforced by applying periodicity boundary conditions - they are used to calculate the interior solution, which only maps the global behavior of the structures
Summary
The review by Dayyani et al [17] considers a range of applications as well as the mechanical behavior of composite corrugated structures.The geometric effects of cylindrical corrugations can create highly anisotropic structural properties with respect to inplane extension or bending of corrugated sheets. The review by Dayyani et al [17] considers a range of applications as well as the mechanical behavior of composite corrugated structures. Decades ago, corrugated metal sheets were used for airplane design, were the local bending stiffness of the corrugations replaces the ribs (wing) or stringers (fuselage) to increase buckling strength [1,2,3,4]. Thill et al [21] gave a review dedicated to the subject of morphing skins. Some morphing-wing design concepts call for sections of flexible skin, that should contribute to the wingskin stiffness along the span and have high compliance and deformability along the chord directions where early design studies were performed by Thill et al [22] and by Ghandi and Anusonthi [23].
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